100264045 has 64 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 60963840.

The previous prime is 100264027. The next prime is 100264057. The reversal of 100264045 is 540462001.

It is not a de Polignac number, because 100264045 - 2⁹ = 100263533 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553855 + ... + 554035.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^100264045 is an apocalyptic number.

It is an amenable number.

100264045 is a deficient number, since it is larger than the sum of its proper divisors (56983955).

100264045 is a wasteful number, since it uses less digits than its factorization.

100264045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 100264045 is about 10013.1935465165. The cubic root of 100264045 is about 464.5670537618.

The spelling of 100264045 in words is "one hundred million, two hundred sixty-four thousand, forty-five".